Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED

I. A. Shovkovy; V. A. Miransky; V. P. Gusynin

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Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED

V. P. Gusynin, V. A. Miransky, I. A. Shovkovy

High Energy Physics - Phenomenology · Submitted 10 Aug 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem.

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arXiv IDhep-ph/9908320 (version 1)

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CitationI. A. Shovkovy, V. A. Miransky, V. P. Gusynin. "Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED." arXiv:hep-ph/9908320 (1999). https://pith.science/paper/XO2GK7G5

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.05 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed.	contribution 0.94	0.85	0.21	asserted 0.99
s1	An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem.	method 0.61	0.93	0.26	asserted 1.00
s2	The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.	result 0.59	0.93	0.36	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.94.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.

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References

Forward citations

Cited by 15 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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Effective kinetic theory description of the magnetic field-induced anisotropic gluon pressure during pre-equilibrium in heavy-ion collisions
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A new effective Boltzmann-Vlasov equation for gluons in a strong magnetic field is constructed and solved in the collisionless limit, showing that the field increases the longitudinal-to-transverse pressure ratio in a...
Photon production from gluon splitting and fusion induced by a magnetic field of arbitrary strength in relativistic heavy-ion collisions
hep-ph 2026-08 conditional novelty 6.0 of 10

Photons from gluon fusion and splitting in a magnetic field, with normalization parameters tuned to the data, reproduce the PHENIX excess yield and elliptic flow.
Leading order quark-antiquark-W-boson vertex in the presence of a magnetic field
hep-ph 2026-08 conditional novelty 6.0 of 10

The quark-antiquark-W vertex in a magnetic field obeys the selection rule that for initial oscillator indices n1 and n2, the produced W can only have oscillator index nW between 0 and n1+n2.

Show 10 more citing papers

Magnetic Catalysis and Fermion Mass Generation in de Sitter Spacetime
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In de Sitter space with a background magnetic field, the field catalyzes chiral symmetry breaking while Hubble curvature restores it, with a second-order phase boundary.
Comments on magnetic black holes
hep-th 2020-04 accept novelty 6.0 of 10

Magnetically charged Standard-Model black holes develop a macroscopic region of restored electroweak symmetry and evaporate far faster than neutral black holes of the same mass because of order-Q massless fermion modes.
Magnetic field modifications to the pion-quark vertex in the Linear Sigma Model with quarks
hep-ph 2026-08 reject novelty 5.0 of 10

The magnetic field modifies the pion-quark vertex in the Linear Sigma Model; a tree-level modification vanishes after summing Landau levels, and the claimed one-loop LLL identity between Ritus and Schwinger methods fa...
From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields
hep-ph 2026-06 unverdicted novelty 5.0 of 10

Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.
Anisotropic quark propagation and Zeeman effect in an external magnetic field
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A Dyson-Schwinger calculation shows that in a magnetic field, quarks acquire distinct transverse and longitudinal effective masses, with the transverse mass always larger, and a mass splitting that grows roughly as th...
Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas
hep-ph 2020-09 conditional novelty 5.0 of 10

The electrical and Hall conductivities of a hot magnetized pion gas are computed using the relaxation time approximation with in-medium ππ cross sections, giving medium-modified temperature and field dependence.
Magnetic catalysis and inverse magnetic catalysis in QCD
hep-ph 2015-02 conditional novelty 5.0 of 10

In two-flavor QCD the chiral transition temperature is non-monotonic in the magnetic field: it drops at intermediate fields and rises as the square root of the field at asymptotically large fields.
Influence of interactions on the chiral effect in $1D$ Dirac semimetal
cond-mat.str-el 2026-08 conditional novelty 4.0 of 10

For the interacting SSH model, QMC data show that the low-frequency response of chiral density to an electric field remains equal to the electrical conductivity, so local Hubbard interactions do not renormalize the 1D...
Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
nucl-th 2019-07 unverdicted novelty 4.0 of 10

In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
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The review argues that magnetic catalysis, the dimensional reduction of charged fermions to their lowest Landau level, underlies chiral symmetry breaking in gauge theories and the quantum Hall effect in graphene and r...

How the literature uses it

32 arXiv papers cite this in 55 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 34 sentences without a confident label

Builds on it 1 paper

These approximations to the gap equation have been introduced in [ref] for QED, and can be extended to QCD at finite temperature.

Magnetic catalysis and inverse magnetic catalysis in QCD · Quark gap equation · 0.98

Compares with it 1 paper

Our result on the mass gap agrees with that from the SD equation [ref] .

Anatomy of the magnetic catalysis by renormalization-group method · Discussions and concluding remarks · 0.99

Cites it as background 16 papers

This phenomenon is known as magnetic catalysis (MC) [ref] , which explains that the magnetic field has a strong tendency to enhance (or catalyze) spin-zero fermion-antifermion condensates $⟨ΨΨ⟩$.

Anisotropic pressure of magnetized quark matter with anomalous magnetic moment · Numerical Results · 0.80
The problem of chiral phase transition using NJL model in presence of a uniform background magnetic field is an extensively studied topic in the literature [ref] .

Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model · Introduction · 0.98
Among these some of the important ones are Chiral Magnetic Effect (CME) [ref] , Magnetic Catalysis (MC) [ref] and Inverse Magnetic Catalysis (IMC) [ref] of dynamical chiral symmetry breaking which may cause significant change in the nature of electro-weak [ref] , chiral and superconducting phase transitions [ref] , electromagnetically induced superconductivity and superfluidity [ref] and so on.

Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model · Introduction · 0.98

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